DocumentCode
3182380
Title
Orbital stability analysis of coupled harmonic oscillators
Author
Xinmin Liu ; Iwasaki, Takuya
Author_Institution
Dept. of Mech. & Aerosp. Eng., Univ. of California, Los Angeles, Los Angeles, CA, USA
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
5942
Lastpage
5947
Abstract
A fundamental problem in understanding complex dynamical systems is how synchronization and coordination emerge through interactions of oscillators. This paper presents an orbital stability analysis for a class of coupled harmonic oscillators. Based on the Floquet theory and averaging principle, conditions on the coupling and damping parameters are obtained for local convergence to an orbit with prescribed pattern of oscillations. Insights into the stabilization mechanisms are gained through digraph theory.
Keywords
convergence; directed graphs; harmonic oscillators; nonlinear control systems; stability; synchronisation; Floquet theory; complex dynamical systems; coupled harmonic oscillators; digraph theory; local convergence; orbital stability analysis; stabilization mechanisms; synchronization; Couplings; Damping; Eigenvalues and eigenfunctions; Orbits; Oscillators; Stability analysis; Zinc;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426970
Filename
6426970
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